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Viscoelastic Fractional Model Based on Harmonic Excitation

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  • Ruiqun Ma
  • Min Ni
  • Quanlong Chen
  • Yinjia Zhou
  • Jinglong Han
  • Alessandro Della Corte

Abstract

This paper analyzes the viscoelastic fractional constitutive model based on the analytical form of the fractional derivative of the sine (cosine) function. First, the polynomials of the linear model are combined into a fractional derivative term, then the complex modulus can be easily obtained, and the response characteristics of the model can be analyzed. Second, the fractional nonlinear model is expressed in harmonic form, which can easily identify nonlinear parameters. Finally, fractional-order nonlinear models can also be transformed into integer-order nonlinear forms. In this paper, the transformation model is verified by literature test data, which show the correctness and accuracy of the transformation form.

Suggested Citation

  • Ruiqun Ma & Min Ni & Quanlong Chen & Yinjia Zhou & Jinglong Han & Alessandro Della Corte, 2022. "Viscoelastic Fractional Model Based on Harmonic Excitation," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-13, July.
    • Handle: RePEc:hin:jnlmpe:4799387
    DOI: 10.1155/2022/4799387
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